long problem :/ especially to do online lol.
So I, personally, would use substitution for this type of problem.
4x-7y=-13
3x-5y=-9
Second equation: y=3/5x+9/5
Substitute second equation to first equation.
4x-7(3/5x+9/5)=-13
4x-21/5x-63/5=-13
-1/5x=-2/5
x=2.
substitute 2 for x into the second equation.
3(2)-5y=-9
6-5y=-9
-5y=-9/6
y=9/30
y=3/10.
That should be right.